Good non-edible trees for silvopasture

I'm currently working on growing several different varieties of fruits and nuts to start myself an animal orchard but I'm looking for things that would be helpful to add that don't necessarily produce human or livestock food.

I've already got osage orange seeds and I'm also thinking alder and black locust. Any others I should think about that would do well in the southeast? Preferably these would benefit the soil and then be cut away after my food trees get up.